(c) Calculate the probability that we will obtain a sample mean greater than 21; that is, calculate P(x > 21). Hint: Find the z value corresponding to 21 by using and σ because we wish to calculate a probability about x. (Use the rounded standard error to compute the rounded Z-score used to find the probability. Round your answer to 4 decimal places. Round z-scores to 2 decimal places.) P(X> 21)

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Question
4-
C
raw
Lill
(c) Calculate the probability that we will obtain a sample mean greater than 21; that is, calculate P(x > 21). Hint: Find the z value
corresponding to 21 by using μ; and o; because we wish to calculate a probability about x. (Use the rounded standard error to
compute the rounded Z-score used to find the probability. Round your answer to 4 decimal places. Round z-scores to 2 decimal
places.)
P(X> 21)
(d) Calculate the probability that we will obtain a sample mean less than 18.450; that is, calculate P(x <18.450) (Use the rounded
standard error to compute the rounded Z-score used to find the probability. Round your answer to 4 decimal places. Round z-
scores to 2 decimal places.)
P(x< 18.45)
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Transcribed Image Text:C raw Lill (c) Calculate the probability that we will obtain a sample mean greater than 21; that is, calculate P(x > 21). Hint: Find the z value corresponding to 21 by using μ; and o; because we wish to calculate a probability about x. (Use the rounded standard error to compute the rounded Z-score used to find the probability. Round your answer to 4 decimal places. Round z-scores to 2 decimal places.) P(X> 21) (d) Calculate the probability that we will obtain a sample mean less than 18.450; that is, calculate P(x <18.450) (Use the rounded standard error to compute the rounded Z-score used to find the probability. Round your answer to 4 decimal places. Round z- scores to 2 decimal places.) P(x< 18.45) # Q $ O < Prev % 5 4 of 20 MacBook Pro G Search or type URL 6 & Next > 8 9
Suppose that we will randomly select a sample of 106 measurements from a population having a mean equal to 19 and a standard
deviation equal to 7.
(a) Describe the shape of the sampling distribution of the sample mean x. Do we need to make any assumptions about the shape of
the population? Why or why not?
because the sample size is
(b) Find the mean and the standard deviation of the sampling distribution of the sample mean x. (Round your answer to 1 decimal
place.)
ux
OX
Transcribed Image Text:Suppose that we will randomly select a sample of 106 measurements from a population having a mean equal to 19 and a standard deviation equal to 7. (a) Describe the shape of the sampling distribution of the sample mean x. Do we need to make any assumptions about the shape of the population? Why or why not? because the sample size is (b) Find the mean and the standard deviation of the sampling distribution of the sample mean x. (Round your answer to 1 decimal place.) ux OX
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